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Finding the Third Proportional to 783.42 and 1,689.29

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Solution

The third proportional to 783.42 and 1,689.29 is: 3,642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.42 : 1,689.29 = 1,689.29 : x
  2. Step 2: Convert to fraction form
    783.42/1,689.29 = 1,689.29/x
  3. Step 3: Cross multiply
    783.42x = 1,689.29 × 1,689.29
  4. Step 4: Simplify right side
    783.42x = 2,853,710.73
  5. Step 5: Solve for x
    x = 2,853,710.73/783.42
  6. Step 6: Final answer
    x = 3,642.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.